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A monatomic gas is supplied the heat Q very slowly keeping pressure constant. The work done by the gas is

Correct answer: D. D2Q/5

  • A. A2/3Q
  • B. B1/3Q
  • C. CQ/2
  • D. D2Q/5

Explanation

ΔU = nCV ΔTΔQ = nCP ΔTHence (ΔU / ΔQ) = (CV / CP)For monoatomic gas, (CP / CV) = (5/3)∴ (ΔU / ΔQ) = (3/5) i.e. ΔU = (3/5)ΔQ From 1st law of thermodynamics.Q = ΔU + W ∴ Q = (3/5)Q + W∴ W=(⅖)For a numerical only one option is correct so all other options cannot be correct.

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About Molar Specific Heat of a Gas

Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.

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